PHET
Equality Explorer: Two Variables
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
Concord Consortium
Three Circles
Round and round and round we go. Given a diagram of three circles, two of which share a point with the third circle, learners identify the radius of each circle. Doing so requires setting up and solving a system of equations based on the...
Balanced Assessment
Bagels or Donuts
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Curated OER
Hot Under The Collar
Pupils try to get a collar on temperature with a short assessment item that asks them to compare two different methods in converting Celsius to Fahrenheit. Individuals try to find out when an estimation provides conversions that are...
Math Worksheets 4 Kids
Equation in Matrix Form
This simple, neat, learning exercise, gives learners some systems of linear equations to translate into matrix form. An answer key is included. The matrix of rows and columns are then ready for students to take the next step of solving...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
Curated OER
Math Sheet #5 Systems Of Equations
Solve systems of equations using the substitution or elimination method. Kids can practice by solving each of the five problems on this one-page worksheet.
Curated OER
Linear Programming
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming activity, students discover how to graph inequalities and how to determine the algebraic representation of a...
Curated OER
Systems of Linear Equations
Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.
Curated OER
Finding X and Y Intercepts
How can you solve systems of linear equations? This slideshow introduces learners to the substitution method, the elimination method using addition and subtraction, and the elimination method using multiplication. Guided practice...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Curated OER
Solving Systems of Equations
Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations instructional activity, they work through problems of solving systems by substitution, elimination,...
Curated OER
Least Squares
In this least squares activity, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
Curated OER
Algebra 2 Honors/ 1B Mid-Term Exam
In this mid-term exam instructional activity, students solve systems of equations by graphing. They identify the domain and range of functions. Students solve inequalities and graph them on a coordinate plane. Students...
Curated OER
Solving Systems of Equations by Graphing
In this systems of equations activity, students solve systems of equations by graphing. They identify the intercept of two lines. This two-page activity contains 12 multi-step problems. Explanations and examples are...
Curated OER
Integrated Algebra/Math A Regents Questions: Systems of Quadratic/Linear Equations
In this system of equations worksheet, students solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.
Curated OER
Solving Systems of Inequalities by Graphing
In this solving systems by graphing worksheet, students solve 12 systems of equations. Students graph each system to find the intersection/solution.
Curated OER
Solving Linear Systems By Graphing #5
In this solving linear systems by graphing activity, 6th graders use graphs to solve positive and negative linear equations. Students solve four problems.
Curated OER
Solving Linear Systems by Graphing #4
For this problem solving worksheet, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.
Curated OER
Solving Systems of Equations by Graphing
In this systems of equations worksheet, students solve each system of equations by graphing on a coordinate plane. Students identify the solution to the equations by the intersection of the two graphs. They also observe that parallel...
Curated OER
Solving Systems of Equations by Substitution
In this systems of equations activity, students solve equations by substitution. Through substitution, students evaluate equations for both x and y. Answers are given as an ordered pair. This two page activity contains 16 problems,...
Curated OER
Solving Linear Systems by Substitution
Need a worksheet to reinforce using substitution to solve linear systems of equations? This one contains 4 problems and plenty of work space. Tip: This would be a great quick review, warm up, or pair exercise.
Curated OER
Solving Equations By Systematic Trial
Studentss solve equations using guess and check. In this algebra lesson plan, students solve linear equation using the systematic trial. They isolate and identify the missing variable using non tranditonal methods.